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PROVE: If S = ~s1, . . . , ~sm is a system of vectors and...
Using the central divided difference approximation with a step size of 0.4, the derivative of f(x)...
Let T : V → V be a linear operator satisfying T2 = T. Define U1...
Find the inverse laplace transform of: (s+1)/(s2(s2+1))
Please provide written explanations for each of these items. Think of a real world relation between...
1. Find the first five terms in sequences with the following nth terms. a. n2+6 b....
Find the 100th and the nth term for each of the following sequences. a. 1,5,9,13... b....
Use the method of variation of parameters to determine the general solution of the given differential...
Can anyone please explain how to find the range of the below? Not just the answer...
Come up with a series of the 3 items for each of the following sentences: (a)...
given a bag with many marbles in each of four colors, count the ways to select...
DE: 4. Consider u" + u = 0 , with boundary conditions u(0)= u(L)=0 where L...
USE ODE to solve the equations: a) Uxx = XY b) Uy = 2U Note: U...
Two chemicals, A and B, are mixed together in a vat. Chemical A turns into chemical...
Let W be a subspace of a f.d. inner product space V and let PW be...
Suppose you take a random non-empty subset of {1,2,3} (each equally likely). Then let X be...
Sam wants to predict who will be selected as the seventh-grade student council representative. which of...
X，Y be sets and f:X-＞Y is a function there's a function g:Y-＞X such that g(f(x))＝x for...
. Let f : Z → N be function. a. Prove or disprove: f is not...
Prove that if the domain of a function is finite, then the range is finite
Write these equations in explicit form: x' = x^(2) - t^(2) y' = sin(y) mr' +...
Find all sixth roots of unity in two ways: (a) Factor x^6-1 = 0 over R...
Write a formal proof where you define a function to prove that the sets 3Z and...
$100,000 is deposited into an account and left there for three years at a rate of...
ODE: 4. Consider u" + u = 0 , with boundary conditions u(0)= u(L)=0 where L...
(Please show step by step workings) Mary’s parents tell them that they will set up a...
Prove ` ((¬B →¬A) → (¬B → A)) → B You are expected to give two...
5. Corey is asked to find the maximum value of a function. Not having a complete...
Let u1= [4,2,2], u2=[20,12,8], and u3=[-20,66,58]. Apply the Gram-Schmidt orthogonalization process and find w3.
Find numbers x and y so that w-x⋅u-y⋅v is perpendicular to both u and v, where...
Vectors u1= [1,1,1] and u2=[8,-7,-1] are perpendicular. Find the orthogonal projection of u3=[65,-19,-31] onto the plane...
Verify that u=[1,13]T is an eigenvector of the matrix [[ -8,1],[-13,6]]. Find the corresponding eigenvalue lambda.
Use Green’s Theorem to evaluate the integral H C x ln ydx where C is the...
(a) Show that the chromatic number of the Petersen graph is exactly 3. (b) Find the...
Let G be a connected plane graph and let T be a spanning tree of G....
Seidon needs to take his seven cats to the vet for vaccination. Unfortunately, some cats do...
DOES AN ARITHMETIC SEQUENCE ALWAYS DIVERGE? TRUE/FALSE AND EXPLAIN WHY
3. [15 marks] A new tropical disease has emerged on an isolated island where the population...
Find all values z1 and z2 such that (2, −1, 3), (1, 2, 2), and (−4,...
01. a) Solve the system of equations. { ? + ? + 2? = 4 ?...
what is the Present value of a lump sum investment that will be worth $5000 at...
Prove that (Orbit-Stabilizer Theorem). Let G act on a finite set X and fix an x...
Show that GL(2, R) acts transitively on R^2 − {0}. Hint: Let v, w ∈ R^2...
Let Q1, Q2, Q3, Q4 be constants so that y =Q1+Q2x+Q3x^2+Q4x^3 satisfies that y(1)=1 and (1-x^2)y"-2xy'+12y=0.
For Problems #5 – #9, you willl either be asked to prove a statement or disprove...
Given (k is a constant): x + y + kz = 1 kx + y +...
Solve the equation. (3 + 3y2 + 3y3) dx + (2xy + 3xy2)dy = 0 An...
Find an equation of the circle that satisfies the given conditions. Center (2,-3) and passes through...
A metallurgist purchases a car for total cost including tax and license of $34,395.66. If the...
A chemical manufacturing plant can produce z units of chemical Z given p units of chemical...
An open-top rectangular box is being constructed to hold a volume of 300 in3. The base...
how do you turn fractions into decimals faster?
1.) Consider a home mortgage of $150,000 at a fixed APR of 6% for 30 years....
For the below ordinary differential equation, state the order and determine if the equation is linear...
For the below ordinary differential equation with initial conditions, state the order and determine if the...
Find a solution to y"-4y'-5y=2e^2t using the method of undetermined coefficients no handwriting unless it is...
Suppose a company has fixed costs of $2400 and variable costs per unit of 15/16 x...
Find the distance from the point (6, 1, −1) to the plane x − 2y +...
Show all the step and don't be lazy. You will get thumbs down. Otherwise...Thumb down Please...
In the group Z12, let H = 〈6〉 and N = 〈8〉. (a) List the elements...
We have a bag filled with 201 marbles, of which 100 of them are blue and...
Prove that Every disk is connected,
Please clear writing and explain step by step this should be a simple question Explain your...
Explain the following three itemized questions about Indrect Proof (a.k.a. Reductio ad Absurdum): (1) how it...
Let X be finite set . Let R be the relation on P(X). A,B∈P(X) A R...
Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as...
Define BA to be the set of all functions from A to B. Show that if...
SHOW ALL WORK! (Equations, calculations, etc.) Circle Electric Supply is considering opening a second service counter...
Consider a group of ten people. The ten people are grouped into five pairs and the...
Use the Laplace transform to solve the following initial value problem: ?″+4?=8?(?−7) ?(0)=0,?′(0)=0 (Notation: write u(t-c)...
Let (sn) ⊂ (0, +∞) be a sequence of real numbers. Prove that liminf 1/Sn =...
a) Let H be a subgroup of a group G satisfying [G ∶ H] = 2....
Foods Place sells Turkey sausages. The market demand for Turkey Sausages is uncertain but the mean...
Use the Laplace transform to solve the following initial value problem: ?″−3?′−18?=?(?−9) ?(0)=0, ?′(0)=0 (Notation: write...
Determine the value of a for which the system has no solution, exactly one solution, or...
Let S = { e1, e2, e3, e4 } be the standard basis for R4 ,...
Problem 5 Solve the following initial value problems: 1. x′+(5/t)x=1+t, x(1)=1 2. x′ =(a+b/t)x, x(1)=1
Find the proceeds of a promissory note with a maturity value of $1800 due on September...
Constructing and Analyzing Balance Sheet Amounts from Incomplete Data Selected balance sheet amounts for 3M Company,...
Real analysis conception If the sequence of function fn is continuous, does that means its subsequence...
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